Faxen's law for arbitrary oscillatory Stokes flow past a porous sphere

被引：0

作者：

Prakash, J. ^{[1
]}

Sekhar, G. P. Raja ^{[1
]}

Kohr, M. ^{[2
]}

机构：

[1] Indian Inst Technol, Dept Math, Kharagpur 721302, W Bengal, India

[2] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

ARCHIVES OF MECHANICS | 2012年 / 64卷 / 01期

关键词：

Stokes flow; Darcy's law; Saffman's condition; Flaxen's law; BOUNDARY CONDITION; MODEL; HOMOGENIZATION; PARTICLES; EQUATIONS; DOMAIN; FLUID; SHELL; MEDIA; DRAG;

D O I：

暂无

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

THE PRESENT ARTICLE DEALS WITH the study of the hydrodynamics of a porous sphere in an oscillatory viscous flow of an incompressible Newtonian fluid. Unsteady Stokes equations are used for the flow outside the porous sphere and Darcy's equation is used for the flow inside the porous sphere. Corresponding Faxen's law for drag and torque acting on the surface of the porous sphere is derived. Also the results are compared with few existing special cases. Examples like uniform flow, oscillating Stokes let, oscillatory shear flow and quadratic shear flow are discussed.

引用

页码：41 / 63

页数：23

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